Extensions 1→N→G→Q→1 with N=C₂²×F₅ and Q=C₂

Direct product G=N×Q with N=C₂²×F₅ and Q=C₂

		d	ρ	Label	ID
C₂³×F₅		40		C2^3xF5	160,236

Semidirect products G=N:Q with N=C₂²×F₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×F₅)⋊₁C₂ = D₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₅	20	8+	(C2^2xF5):1C2	160,207
(C₂²×F₅)⋊₂C₂ = C₂×C₂²⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₅	40		(C2^2xF5):2C2	160,212

Non-split extensions G=N.Q with N=C₂²×F₅ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₂²×F₅).₁C₂ = D₁₀.₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₅	40	(C2^2xF5).1C2	160,81
(C₂²×F₅).₂C₂ = C₂×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂²×F₅	40	(C2^2xF5).2C2	160,204
(C₂²×F₅).₃C₂ = C₂×C₄×F₅	φ: trivial image	40	(C2^2xF5).3C2	160,203

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Extensions 1→N→G→Q→1 with N=C22×F5 and Q=C2